0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.x²y² - 1
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Textbook Question
Work each problem. Which of the following is the correct complete factorization of $x^{4} - 1$ ?
A. $(x^{2} - 1) (x^{2} + 1)$
B. $(x^{2} + 1) (x + 1) (x - 1)$
C. $open paren x squared minus 1 close paren squared$
D. $(x - 1)^{2} (x + 1)^{2}$
775
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Textbook Question
Work each problem. Which of the following is the correct factorization of x³+8?
A. (x+2)³
B. (x+2)(x²+2x+4)
C. (x+2)(x²-2x+4)
D. (x+2)(x²-4x+4)
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Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.y² − 12y + 20
595
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Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.4x²y³ + 6xy
596
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Textbook Question
In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.9x⁴ - 25y⁶
609
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Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. 12m+60
1143
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Textbook Question
Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.
1086
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Textbook Question
In Exercises 11–16, factor by grouping. x³−3x²+4x−12
758
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Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.a² + 5a − 14
613
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Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.30x²y³ − 10xy²
702
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Textbook Question
In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.x¹⁴ - y⁴
607
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Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. 8k³+24k
1118
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²
631
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Textbook Question
In Exercises 11–16, factor by grouping. x³+6x²−2x−12
712
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